The heights of North American women are normally distributed with a mean of 64 inches and a standard deviation of 2 inches.a. What is the probability that a randomly selected woman is taller than 66 inches?b. A random sample of four women is selected. What is the probability that the sample mean height is greater than 66 inches?c. What is the probability that the mean height of a random sample of 100 women is greater than 66 inches?